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Finding the Fourth Proportional to 600.50, 828.62 and 443.21

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Solution

The fourth proportional to 600.50, 828.62 and 443.21 is: 611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.50 : 828.62 = 443.21 : x
  2. Step 2: Convert to fraction form
    600.50/828.62 = 443.21/x
  3. Step 3: Cross multiply
    600.50x = 828.62 × 443.21
  4. Step 4: Simplify right side
    600.50x = 367,246.31
  5. Step 5: Solve for x
    x = 367,246.31/600.50
  6. Step 6: Final answer
    x = 611.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.